Chiral Rings and Phases of Supersymmetric Gauge Theories

Details Chiral Rings and Phases of Supersymmetric Gauge Theories Chiral Rings and Phases of Supersymmetric Gauge Theories

2003-03-24

arxiv.org/abs/hep-th/0303207v1

JHEP 0304:018,2003

Physics

High Energy Physics

High Energy Physics - Theory

55 pages

Scientific paper

10.1088/1126-6708/2003/04/018

We solve for the expectation values of chiral operators in supersymmetric U(N) gauge theories with matter in the adjoint, fundamental and anti-fundamental representations. A simple geometric picture emerges involving a description by a meromorphic one-form on a Riemann surface. The equations of motion are equivalent to a condition on the integrality of periods of this form. The solution indicates that all semiclassical phases with the same number of U(1) factors are continuously connected.

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